Grouped Data

Q.

How to find $x_i$ in statistics?

Q.

Define class size.

Q. Taking 4 as the magnitude of the class intervals, form a grouped frequency distribution using the following data by inclusive method.



31, 23, 19, 29, 22, 20, 16, 10, 13, 34
38, 33, 28, 21, 15, 18, 36, 24, 18, 15
12, 30, 27, 23, 20, 17, 14, 32, 26, 25
18, 29, 24, 19, 16, 11, 22, 15, 17, 10

1. 
2. 
3. 
4. 

Q. In the class intervals 10-20, 20-30, 20 is taken in

(a) the interval 10-20

(b) the interval 20-30

(c) both intervals 10-20, 20-30

(d) none of the intervals

Q.

Find the class width of the class interval 20-24.

1. 5

2. 2

3. 4

4. 3

Q. What is the class mark of the interval 15 - 20?

Q.

The difference between the maximum value and minimum value of the given data is called ___

Q.

Class mark of a particular class is 10.5 and class size is 7, then class interval is

1. 3.5 - 10.5

2. 7 - 14

3. 10.5 - 17.5

4. 7 - 17.5

Q.

The small groups obtained on dividing all the observations are called ________ and the size is called _________.

1. Class size, Class Interval

2. Class Interval, Class Size

3. Mid value, Range

4. Range, Mid Value

Q. Find the upper limit of the first class interval in class interval: 8-11, 12-15, 16-19...

Q.

In a histogram, the height of each bar matters and not its width. State whether true or false.

1. False

2. True

Q.

Length of the class $11-20$ is _______.

Q. Match the frequencies with their class interval for the given data:
{3, 1, 4, 2, 4, 7, 9, 10, 12, 14, 14, 17}

1. 1
2. 2
3. 4
4. 5

Q. Consider the classes: 4 - 9, 10 - 15, 16 - 21, 22 - 27. The width of each class is

1. 4
2. 5
3. 6
4. 4.5

Q. In a histogram the class interval or the groups are taken along ________.

1. y-axis
2. x-axis
3. both of x and y axis
4. in between x and y axis

Q.

Consider the following Bar Graph.

i) Percentage of people in the height range of 149.5 -159.5cm is equal to ______

ii) Percentage difference between height group 159.5 - 169.5cm and 169.5 - 179.5cm

1. 30 , 16.66 %

2. 20 , 6.66%

3. 20 , 16.66 %

4. 30 , 6.66 %

Q. In a histogram the class interval or the groups are taken along ________.

1. both of x and y axis
2. x-axis
3. y-axis
4. in between x and y axis

Q.

Why do we group data?

Q.

In a histogram , the number of parts is called as ___________ and the range of the parts is called __________

1. number of bars, width of bars

2. Class -Intervals, class width

3. frequency, class interval

4. class, band width

Q. A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along

1. Vertical axis and horizontal axis
2. Horizontal axis only
3. Vertical axis only
4. Horizontal axis and vertical axis

Q. In the class intervals given as 7.5 - 12.5, 12.5 - 17.5, the number 12.5 is included in _____ .

1. 12.5 - 17.5
2. both the intervals
3. none of the intervals
4. 7.5 - 12.5

Q.

State true or false.
The marks obtained by 10 students in a mathematics test are
given here: 52, 46, 92, 78, 62, 44, 34, 46, 58, 52
The presentation of data in the above manner is called ungrouped frequency table.

1. True

2. False

Q. Question 6
Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:
$$\begin{array}{cccccccccc}0& 1& 2& 2& 1& 2& 3& 1& 3& 0\\ 1& 3& 1& 1& 2& 2& 0& 1& 2& 1\\ 3& 0& 0& 1& 1& 2& 3& 2& 2& 0\end{array}$$
Prepare a frequency distribution table for the data given above.

Q. The donations made by 30 houses in a locality are as follows:

42, 35, 28, 12, 14, 16, 47, 50, 52, 27,
34, 42, 26, 28, 36, 15, 64, 65, 38, 40,
22, 24, 29, 31, 39, 48, 53, 62, 23, 43.

Construct a grouped frequency distribution with the class size 10.

1. 
2. 
3. 
4. 

Q. In a village, the milk was collected from 50 milkmen at a collection center in litres as given below :

27, 75, 5, 99, 70, 12, 15, 20, 30, 35, 45, 80, 77, 90, 92, 72, 4, 33, 22, 15, 20, 28, 29, 14, 16, 20, 72, 81, 85, 10, 16, 9, 25, 23, 26, 46, 55, 56, 66, 67, 51, 57, 44, 43, 6, 65, 42, 36, 7, 35.

By taking suitable classes, prepare grouped frequency distribution table.

Q.

A grouped frequency distribution table with classes of equal sizes using $63-72$ ($72$ included) as one of the class is constructed for the following data:

$30,32,45,54,74,78,108,112,66,76,88,40,14,20,15,35,44,66,75,84,95,96,102,110,88,74,112,14,34,44.$

The number of classes in the distribution will be:

1. $9$

2. $10$

3. $11$

4. $12$

Q. In a grouped frequency distribution, the class mark of a class 20 - a is given by 23.5. The value of a is

1. 23.5
2. 24
3. 27
4. 47

Q. The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after?

1. two decimal places
2. one decimal place
3. three decimal places
4. four decimal places

Q.

Prove that sum of deviation is zero for 121 122 123 124 125 126 127 128 129 130

Q.

Which of the following is the correct histogram for the given data?

1. 

2. 

3. 

4. None of the above